What is the Greatest Common Factor of 73269 and 73279?

Greatest common factor (GCF) of 73269 and 73279 is 1.

GCF(73269,73279) = 1

We will now calculate the prime factors of 73269 and 73279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73269 and 73279.

How to find the GCF of 73269 and 73279?

We will first find the prime factorization of 73269 and 73279. After we will calculate the factors of 73269 and 73279 and find the biggest common factor number .

Step-1: Prime Factorization of 73269

Prime factors of 73269 are 3, 7, 1163. Prime factorization of 73269 in exponential form is:

73269 = 3² × 7¹ × 1163¹

Step-2: Prime Factorization of 73279

Prime factors of 73279 are 127, 577. Prime factorization of 73279 in exponential form is:

73279 = 127¹ × 577¹

Step-3: Factors of 73269

List of positive integer factors of 73269 that divides 73269 without a remainder.

1, 3, 7, 9, 21, 63, 1163, 3489, 8141, 10467, 24423

Step-4: Factors of 73279

List of positive integer factors of 73279 that divides 73269 without a remainder.

1, 127, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73269 and 73279. The biggest common factor number is the GCF number.
So the greatest common factor 73269 and 73279 is 1.

Also check out the Least Common Multiple of 73269 and 73279